Finding the Third Proportional to 46,213.50 and 61,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,213.50 : 61,786.50 = 61,786.50 : x
2. Step 2: Convert to fraction form
   46,213.50/61,786.50 = 61,786.50/x
3. Step 3: Cross multiply
   46,213.50x = 61,786.50 × 61,786.50
4. Step 4: Simplify right side
   46,213.50x = 3,817,571,582.25
5. Step 5: Solve for x
   x = 3,817,571,582.25/46,213.50
6. Step 6: Final answer
   x = 82,607.28